Search a number
-
+
166204160 = 285413167
BaseRepresentation
bin10011110100000…
…01001100000000
3102120202001020122
421322001030000
5320022013120
624254155412
74055466143
oct1172011400
9376661218
10166204160
11858aa711
12477b2b68
1328583675
141810605a
15e8d0a25
hex9e81300

166204160 has 72 divisors (see below), whose sum is σ = 407949696. Its totient is φ = 64839680.

The previous prime is 166204151. The next prime is 166204183. The reversal of 166204160 is 61402661.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50897 + ... + 54063.

It is an arithmetic number, because the mean of its divisors is an integer number (5665968).

Almost surely, 2166204160 is an apocalyptic number.

166204160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203974848).

166204160 is an abundant number, since it is smaller than the sum of its proper divisors (241745536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166204160 is an equidigital number, since it uses as much as digits as its factorization.

166204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 166204160 is about 12892.0192367216. The cubic root of 166204160 is about 549.8116820845.

The spelling of 166204160 in words is "one hundred sixty-six million, two hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 640 656 820 1280 1312 1640 2624 3167 3280 5248 6334 6560 10496 12668 13120 15835 25336 26240 31670 50672 52480 63340 101344 126680 129847 202688 253360 259694 405376 506720 519388 649235 810752 1013440 1038776 1298470 2026880 2077552 2596940 4053760 4155104 5193880 8310208 10387760 16620416 20775520 33240832 41551040 83102080 166204160